Solve the given Differential Equation by the Annihilator Method.

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

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Q: Determine the type of Differential Equation, then find the solution for it.

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Q: 2. xy' = y + x³ + 3x2 - 2x +

A: Determine if the equation takes the linear form, if so, find the integrating factor and solve the…

Q: (a) 2xy² +x²y' = y², y(1) = -1 %3D

A: Note:-   as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 2 dy + ydx = 4xdx

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Q: dy+2ydx=e-4x

A: dy+2ydx=e-4x⇒y=-12e4x+c1e2x

Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: Find the general solution of the differential equation. 1 こ

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Q: Solve the given differential equation. 10 y' =

A: We can solve given differential equations with the help of variable seprable method-. in this…

Q: determine the value of k that will make the equation exact and solve the resulting differential…

A: we are asked to find the  value of k

Q: Reformulate the given differential equation using a system of differential equations and solve it,…

A: The given equation is a second order linear, non-homogeneous differential equation with constant…

Q: Find the general solutions of the given differential equations.

A: In this question, we solve the system of differential equations by the method of elimination.

Q: x*y' = -x³y – csc (xy).

A: To solve the below differential equation. x4y'=−x3y−cscxy

Q: Solve the differential equation dR a(R + 9). dz

A: Given differential equation  dRdx=aR2+9dRR2+9=adx Integrating both sides, we get…

Q: Solve the given differential equation by undetermined coefficients.

A: Given,              y''-2y'+2y=e2xcos(x)-4sin(x).

Q: differential equation by using an appropriate substitution.

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Q: Given the DE as 2xy² + 4 = 2(3 − x²y)y'.

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Q: Solve the given differential equation. If an initial condition is given, also find the solution that…

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Q: determine whether the given differential equation is exact. If it is exact, solve it.

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as…

Q: gA-4 = 1-

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Q: Solve the differential equation 2r - y 1+1

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Q: solve the differential equation 2) 2x² dy dx csc (X)

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Q: determine if the equation takes the linear form, if so, find the integrating factor and solve the…

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Q: Solve the differential equation: dy 1273 dx ey

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Q: Solve the differential equation,  x⁴ y' = -x³y - csc (xy)

A: Given, x4y' = -x3y -csc(xy)⇒y' = -x3y -csc(xy)x4                    1substituting y =ux , u is a…

Q: b) Find the general solution to the differential equation

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Q: Solve the differential equation. y' - y = 8e* %3D

A: For this we have to find first complement

Q: (4)_y= 16e

A: We have to find solution

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Solve the differential equation. (y2 +x y2) y'   =  1

A: First separate the variables in the given differential equation.…

Q: (1+ x²)y' = x*y4

A: The given differential equation,(1+x2)y'=x4y4

Q: Solve the differential equation: dx || y+1 *

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Q: Solve the differential equation y" - 4y' + 4y% =

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Q: Solve the given system of differential equation:

A: Given that, x'=2x-y  --- (1)y'=y-3x  ---(2) From equation (1) we get, x'=2x-y⇒x'-2x=-y⇒y=2x-x' ---…

Q: Solve the differential equation ydx (2x + 1) (dæ – dy).

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Q: State the order of the given ordinary differential equation. Determine whether the equation is…

A: In the question it is asked to calculate order of differential equation. also it is asked to show…

Q: Solve this differential equation (6x+1)y2dy/dx +3x2+2y3=0

A: Given differential equation is Comparing it with Mdx+Ndy=0, we get Since,  Therefore, given…

Q: Solve y"- бу" + 2у +36у %3D0. с.

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Q: Determine whether the given differential equation is exact. If it is exact, solve it.

A: Note: Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Solve the given differential equation by undetermined coefficients. у" — Зу" + Зу'- у %3 е* — - x +…

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Q: y' + xe' = 0

A: It is known that, if we have a differential equation then, isolate x on one side and isolate all the…

Q: solve the differential equation. 3)yーッー メ+1

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Q: solve the given differential equation using proper replacement.

A: Here we have to solve the given differential equation using proper replacement.

Q: Solve the differential equation dy 6x dx 9x + 6y

A: topic - differential equations

Q: (D4-1)y=0

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Q: dy dr .2

A: The given differential equation is : dydx+yx=y2 It is of the form of linear differential equation.…

Q: = x + 2r dx

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.